What is the value of the expression −6 4/9−1 1/3
To find the value of the expression, we need to subtract the second number from the first number.
First, let's convert both numbers to improper fractions:
-6 4/9 = -59/9
-1 1/3 = -4/3
Now, subtract the second number from the first number:
-59/9 - (-4/3) = -59/9 + 4/3
To add these fractions, we need a common denominator. The smallest number that both 9 and 3 divide into is 9, so we'll use that as the common denominator.
-59/9 + 4/3 = -59/9 + 4/3 * 3/3
= -59/9 + 12/9
= (-59 + 12)/9
= -47/9
Therefore, the value of the expression −6 4/9−1 1/3 is -47/9.
To find the value of the expression −6 4/9 - 1 1/3, we can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-6 4/9 becomes -6 * 9/9 + 4/9 = -54/9 + 4/9 = -50/9
-1 1/3 becomes -1 * 3/3 + 1/3 = -3/3 + 1/3 = -2/3
Step 2: Perform subtraction.
-50/9 - 2/3 can be done by finding a common denominator, which is 9*3 = 27.
-50/9 - 2/3 = -150/27 - 18/27 = (-150 - 18)/27 = -168/27
Step 3: Simplify the fraction if possible.
The fraction -168/27 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 3.
-168/27 = -56/9
Therefore, the value of the expression -6 4/9 - 1 1/3 is -56/9.